Element.quad4i - Revision history

Fotis: /* Mesh distortion test */

2008-01-09T14:34:52Z

‎Mesh distortion test

Fotis: /* Implementation */

2008-01-09T14:32:48Z

‎Implementation

Fotis: /* Implementation */

2008-01-09T14:31:16Z

‎Implementation

Fotis: /* Patch Test */

2008-01-09T14:30:48Z

‎Patch Test

Fotis: /* Patch */

2008-01-09T14:15:07Z

‎Patch

Fotis: /* Mesh distortion test */

2008-01-09T14:13:13Z

‎Mesh distortion test

Fotis: /* Mesh distortion test */

2008-01-09T11:27:56Z

‎Mesh distortion test

Fotis: /* Mesh distortion test */

2008-01-09T00:22:10Z

‎Mesh distortion test

Fotis at 00:09, 9 January 2008

2008-01-09T00:09:16Z

New page

The following article describes the use of the <tt>element.quad4i</tt> command.
This command defines a four-node non-conforming quad based on the work of R.L. Taylor, P.J Beresford & E.L. Wilson<ref>R.L. Taylor, P.J Beresford and E.L. Wilson, ''"A non-conforming element for stress analysis"'', International Journal for Numerical Methods in Engineering, Vol. 10, pp.1211-1219 (1976)</ref>.

=Syntax=
element.quad4i(id,node1,node2,node3,node4,mat)

where
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse; font-size: 95%;"
|- bgcolor="#CCCCCC" align="center"
!width="150"|Parameter
!width="150"|description
!width="150"|type
!width="150"|default
|-
|id || The elemental id ||align="center"| integer ||align="center"|-
|-
|node1-4|| The elemental [[node|nodes]] ||align="center"| integer ||align="center"|-
|-
|mat || The element [[material]] ||align="center"| integer ||align="center"|-
|}

=Examples=
==Mesh distortion test==
[[Image:Example_Quad4i_01.png|thumb|350px|Mesh distortion test.]]
The example code can be found [[Example:Example_Quad4i_01|here]].
 
===========================
|alpha |STD |QM6 |
+------+---------+--------+
| 0.00| 0.2424| 1.0000|
| 1.00| 0.1274| 0.6174|
| 2.00| 0.0846| 0.5337|
| 3.00| 0.0703| 0.5271|
| 4.00| 0.0597| 0.5044|
=======-===================

=Comments=
[[Node]]s, [[material]] and [[section]] '''must''' be already defined. This element can be only used in plane strain/stress analysis.

=Theory=
 

=Implementation=
The implementation of this element follows closely the work of T.J.R. Hughes<ref>T.J.R. Hughes, ''"The Finite Element Method: Linear Static and Dynamic Finite Element Analysis"''', Prentice-Hall Inc., Englewood Cliffs, New Jersey, 1997, pp.243-248.</ref>

=Notes=
<references/>

=See also=
*[[node]] module.
*[[material]] module.
*[[section]] module.
*[[element]] module.
*[[User guide]].

[[Category:User guide]]

@@ Line 61: / Line 61: @@
 =Implementation=
-The implementation of this element follows closely the work of T.J.R. Hughes.<ref>T.J.R. Hughes, ''"The Finite Element Method: Linear Static and Dynamic Finite Element Analysis"''', Prentice-Hall Inc., Englewood Cliffs, New Jersey, 1997, pp.243-248.</ref>
+The implementation of this element follows closely the work of T.J.R. Hughes<ref>T.J.R. Hughes, ''"The Finite Element Method: Linear Static and Dynamic Finite Element Analysis"''', Prentice-Hall Inc., Englewood Cliffs, New Jersey, 1997, pp.243-248.</ref>.
 =Notes=

@@ Line 37: / Line 37: @@
 ==Patch Test==
 [[Image:Example_Quad4i_02.png|thumb|350px|Patch test.]]
 The example code can be found [[Example:Example_Quad4i_02|here]].
 <br style="clear:both;"/>

@@ Line 35: / Line 35: @@
   ===========================
-==Patch==
+==Patch Test==
 [[Image:Example_Quad4i_02.png|thumb|350px|Patch test.]]
 The example code can be found [[Example:Example_Quad4i_02|here]].
 <br style="clear:both;"/>
-=================================================
+ =================================================
-|   |     Analytical      |     Numerical       |
+ |   |     Analytical      |     Numerical       |
-+---+----------+----------+----------+----------+
+ +---+----------+----------+----------+----------+
-|id |ux        |uy        |ux        |uy        |
+ |id |ux        |uy        |ux        |uy        |
-+---+----------+----------+----------+----------+
+ +---+----------+----------+----------+----------+
-|  5|  0.025150|  0.017600|  0.025150|  0.017600|
+ |  5|  0.025150|  0.017600|  0.025150|  0.017600|
-|  6|  0.047100|  0.032500|  0.047100|  0.032500|
+ |  6|  0.047100|  0.032500|  0.047100|  0.032500|
-|  7|  0.058150|  0.041600|  0.058150|  0.041600|
+ |  7|  0.058150|  0.041600|  0.058150|  0.041600|
-|  8|  0.039850|  0.029000|  0.039850|  0.029000|
+ |  8|  0.039850|  0.029000|  0.039850|  0.029000|
-=================================================
+ =================================================
 =Comments=

@@ Line 35: / Line 35: @@
   ===========================
-==Mesh distortion test==
+==Patch==
 [[Image:Example_Quad4i_02.png|thumb|350px|Patch test.]]
 The example code can be found [[Example:Example_Quad4i_02|here]].

@@ Line 26: / Line 26: @@
 <br style="clear:both;"/>
   ===========================
-  |alpha |STD      |QM6     |
+  |alpha|STD      |QM6      |
-  +------+---------+--------+
+  +-----+---------+---------+
   | 0.00|   0.2424|   1.0000|
   | 1.00|   0.1274|   0.6174|

@@ Line 33: / Line 33: @@
   | 3.00|   0.0703|   0.5271|
   | 4.00|   0.0597|   0.5044|
-  =======-===================
+  ===========================
 =Comments=